Factor. 7q^3 - 14q^2 - 5q + 10 ______

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Factor out common factors: Look for common factors in pairs of terms. First, we look at the first two terms, 7q^3 and -14q^2, and factor out the greatest common factor, which is 7q^2. 7q^3 - 14q^2 = 7q^2(q - 2)Factor remaining terms: Look for common factors in the remaining pair of terms. Next, we look at the last two terms, -5q and +10, and factor out the greatest common factor, which is -5. -5q + 10 = -5(q - 2)Write down findings: Write down what we have found so far. We have factored the polynomial into two parts: 7q^3 - 14q^2 = 7q^2(q - 2) -5q + 10 = -5(q - 2) Now, we can write the polynomial as: 7q^2(q - 2) - 5(q - 2)Factor out common binomial: Factor out the common binomial factor. We notice that (q - 2) is a common factor in both terms. We can factor this out: 7q^2(q - 2) - 5(q - 2) = (q - 2)(7q^2 - 5)Check quadratic factor: Check if the quadratic factor can be factored further. The quadratic factor 7q^2 - 5 does not have any common factors and cannot be factored further using integers. Therefore, the factored form of the polynomial is: (q - 2)(7q^2 - 5)

Factor. $\newline$ $7q^3 - 14q^2 - 5q + 10$

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Factor. $\newline$ $7q^3 - 14q^2 - 5q + 10$